# Tagged Questions

Fiter design is the process of designing a filter.

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### how to find breakpoints of a signal based on the frequency of the signal

There are 4 cos signals with 10,20,30 and 100 Hz each. The main signal is the sum of those 4 and I have to create a low pass filter, on the main signal for the frequency's > 50 Hz. ...
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### How Matched filter is transformed due to frequency modulation?

Intro: Consider a signal source S which emits a PAM modulated signal, bits encoded as +g(t) and ...
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### Smoothing the discrete acceleration

In order to know if my signal is increasing or decreasing, I'm using the discrete derivative $y[n] = x[n] - x[n-1]$ or a smoothed version of it (for example Exponential Weight Moving Average of $y[n]$ ...
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### Turn a decision problem into a linear filter problem

Let $x[n]$ be a time-series, and two filters: $A[n] = a_0 x[n] + a_1 x[n-1] + ... a_q x[n-q]$ $B[n] = b_0 x[n] + b_1 x[n-1] + ... b_r x[n-r]$ I think the answer is No, but is there a way to have ...
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### 3dB-Cut off frequency of moving average

I've read the thread: Cut off frequency of moving average And I use the second answer in my algorithm to calculate the 3dB cut off frequency of my filter, which works great, as my filter length is ...
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### Complex band pass filter

I'm trying to find some mathematical docs about the complex (analytic signal) band pass filtering in discrete time. I've read some text already but most of them describes the problem in real time ...
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### What kind of filter would have a sawtooth frequency response?

I want a complex FIR or IIR filter whose response is approximately a sawtooth in the frequency domain. How should this be formally described, and what formula or algorithm can I use to calculate taps ...
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### Design one of 4 type of FIR filter by window function?

There're 4 type of FIR to chose from symetry ,even symetry ,odd antisymetry, even antysymetry, odd Also, there are many type of window like rectangular, Hanning, Kaiser,etc So how to use a window ...
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### What does this signal filter do? (coming from finance)

In finance, many "indicators" are used in order to make prediction about if a price has an increasing or decreasing trend over time. Among them, MACD is a popular one. There are many slighlty ...
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### Filter Design for Phase Response

How can I design an all pass filter to have a constant phase shift over a bandwidth centered around a carrier? I don't care about phase shift outside the band. I would like to have the filter in ...
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### Is the below filter linear phase

$$h(t) = \frac{1}{1 + t^2}$$ and is it IIR or FIR filter. I tried finding the Laplace transform of this filter to get the data flow diagram with 5 taps and T=2s, however, I am unable to solve this. ...
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### High-pass filtering pre-processing before computing audio features

I want to compute acoustic features on a set of audio files. These features can be classical audio features as spectral flux, but also acoustic indices as proposed in the seewave R package ). I ...
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### Denoising of Images capture by digital camera using Butterworth Filter

Right now, i am doing a research on how the Butterworth filter can reduce the noise in images captured by digital camera. For start, what i need is images which contain noise in it. My question is; ...
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### How to remove or filter the drift problem in measured Strain signal?

I have the strain signal of a lateral beam of a car measured at sampling rate 1,200Hz from data acquiring system. Even after using temperature compensation in strain gage, we are getting drift. So I ...
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### How to eliminate noise that has the same frequency of my signal

I have an audio signal , and I want to remove noise from it. I have applied a bandpass filter in order to remove frequencies that are not part of mi signal. But if there is background noise (some ...
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### Design a FIR filter with a Kaiser window

Here is the exercise I am working on. Use the window design method with the Kaiser window to design a linear phase high pass FIR filter of minimum order that meets the folowing specification: ...
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### IIR Filter Design Issues : MATLAB

I am designing an IIR Filter with the following designs constraints: Passband $(0.75\pi,\pi)$ Stopband $(0,0.70\pi)$ No more than $0.5$ % ripple in the passband No less than $40$ dB attenuation in ...
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### Relation of roots of a polynomial to amplitude distribution of its coefficients

Consider $g(x)=\sum_{k=0}^{p}a_kx^{k}$, and let $\{\tau_1,\tau_2,\cdots,\tau_p\}\in\mathbb{C}$ be the roots of $g(x)$. What is the relation between how $\{a_0,a_1,\cdots,a_p\}$ are distributed (in ...
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### Time-domain filtering to match a target time-varying frequency response

I would like to implement a filter in the time domain based on a desired frequency response that changes over time. The initial goal is a bandpass filter with a time-varying center frequency, where ...
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### Why lattice-structured all-pole IIR filter becomes stable, if the k-coefficients satisfies $|k_i| < 1$? [closed]

Why the lattice-structured all-pole IIR filter becomes stable, if the k-coefficients satisfies $|k_i| < 1$? Anyone who can tell me the way how to prove it, would be so thankful for me :) ps. If ...
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### How to find out the farrow coefficients if FIR coefficients are given?

FIR filter coefficients are known. Then what is the matlab code or function that is used to determine the corresponding farrow structure coefficients?
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### Discrete-time Biquad filter: Relation between peak frequency and pole frequency

This question arose from a discussion in the comments to this question and its answer. The author of that question discussed a discrete-time second order filter described by the following difference ...
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### dealing with Huge Length (Order) FIR filters

I'm studying a project. My signal is audio 8KHz Mono, 8 bits in Low frequencies 70Hz until 1200Hz. When I perform the calculus with the transition band is very narrow (Transition Frequency) my Order ...
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How can I implement comb filter in reducing noise in wireless communication? I am new in signal processing and right now I am still learning about the comb filter. Can I use it to reduce/filter noise ...
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### Special case peak/notch filter for exactly 1/32 sampling rate?

I need a filter at 1/32 my sampling rate. Because it's 1/2n, I was thinking there might be a special case filter for this case. Anything like this?
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### Given an FIR filter coefficients, how can I find coefficients of its equalizer filter?

I have an N-tap direct form complex FIR filter with known coefficients [c0 c1 .. cn]. I want to find the coefficients of its equalizer filter which when cascaded ...
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### What does 'canonical' mean?

What does 'canonical' mean? e.g. 'write IIR or FIR in canonical form' I get the gist of it but maybe someone here has a precise definition. In a non-DSP context it would mean something like ...
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### Multiple cheap IMUs vs one expensive IMUs

In my project, there is a possibility of either buying one expensive IMU or 5 cheaper IMUs. They have to be cheaper due to budget limitations, and the idea is to use them in order to be able to do ...
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### Practical vs ideal lowpass interpolator

Consider a signal with a sample rate $f_s = 44.1$ kHz. Let us upsample the signal by a factor of $L = 2$ and interpolate the zeros. An ideal lowpass interpolator would have a gain of $L$ and a cutoff ...